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Physics · LAWS OF MOTION

हिन्दी

Determine the maximum acceleration of a train in which a box lying on its floor will remain stationary, given that the coefficient of static friction between the box and the train's floor is \( 0.15 \). (Take \( g = 10\text{ m s}^{-2} \))

  1. \( 1.5\text{ m s}^{-2} \)
  2. \( 1.0\text{ m s}^{-2} \)
  3. \( 2.0\text{ m s}^{-2} \)
  4. \( 0.15\text{ m s}^{-2} \)

Correct answer · Option 1

\( 1.5\text{ m s}^{-2} \)

Explanation

Acceleration of box is provided by static friction: \( m a \le f_{s,\text{max}} = \mu_s m g \implies a_{\text{max}} = \mu_s g = 0.15 \times 10 = 1.5\text{ m s}^{-2} \).
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